Solve the equation:
6x = x^2+ 19

as below

Step-by-step explanation:

6= x^2 + 19

x^2=6-19

x^2 = - 9

sqrt ( x^2) = sqrt (-9)   :o   sqrt of a negative?  yes.. use i for the negative.. this is a complex number  .. hope you've been studying those

x = i* sqrt (9)

+- x = i3  so there are technically two answers  

x=i3

and -x=i3  often times the negative answer makes no sense.. so you discard it    

Part A: V = 14y; Part B: y = 2x - 2  

Step-by-step explanation:

Part A: Virginia

 Let y = the number of dogs Virginia walked

and V = the money Virginia earned. Then

     V = 14y

Part B: Alicia

Let x = the number of dogs Alicia walked. Then  

    2x = twice the number of dogs Alicia walked and

2x - 2 = two less than twice the number of dogs Alicia walked. Then

      y = 2x - 2